6400540742993 has 2 divisors, whose sum is σ = 6400540742994. Its totient is φ = 6400540742992.

The previous prime is 6400540742977. The next prime is 6400540743019. The reversal of 6400540742993 is 3992470450046.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5592884445184 + 807656297809 = 2364928^2 + 898697^2 .

It is a cyclic number.

It is not a de Polignac number, because 6400540742993 - 2⁴ = 6400540742977 is a prime.

It is not a weakly prime, because it can be changed into another prime (6400540742593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3200270371496 + 3200270371497.

It is an arithmetic number, because the mean of its divisors is an integer number (3200270371497).

Almost surely, 2^{6400540742993} is an apocalyptic number.

It is an amenable number.

6400540742993 is a deficient number, since it is larger than the sum of its proper divisors (1).

6400540742993 is an equidigital number, since it uses as much as digits as its factorization.

6400540742993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 6400540742993 in words is "six trillion, four hundred billion, five hundred forty million, seven hundred forty-two thousand, nine hundred ninety-three".